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Finding the Third Proportional to 514,738 and 776,157

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Solution

The third proportional to 514,738 and 776,157 is: 1,170,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,738 : 776,157 = 776,157 : x
  2. Step 2: Convert to fraction form
    514,738/776,157 = 776,157/x
  3. Step 3: Cross multiply
    514,738x = 776,157 × 776,157
  4. Step 4: Simplify right side
    514,738x = 602,419,688,649
  5. Step 5: Solve for x
    x = 602,419,688,649/514,738
  6. Step 6: Final answer
    x = 1,170,342.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.